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Finding the Fourth Proportional to 11,034.64, 15,229.20 and 6,255.36

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Solution

The fourth proportional to 11,034.64, 15,229.20 and 6,255.36 is: 8,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.64 : 15,229.20 = 6,255.36 : x
  2. Step 2: Convert to fraction form
    11,034.64/15,229.20 = 6,255.36/x
  3. Step 3: Cross multiply
    11,034.64x = 15,229.20 × 6,255.36
  4. Step 4: Simplify right side
    11,034.64x = 95,264,143.17
  5. Step 5: Solve for x
    x = 95,264,143.17/11,034.64
  6. Step 6: Final answer
    x = 8,633.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.